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Finding the Third Proportional to 1,582,480 and 3,427,616

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Solution

The third proportional to 1,582,480 and 3,427,616 is: 7,424,138.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582,480 : 3,427,616 = 3,427,616 : x
  2. Step 2: Convert to fraction form
    1,582,480/3,427,616 = 3,427,616/x
  3. Step 3: Cross multiply
    1,582,480x = 3,427,616 × 3,427,616
  4. Step 4: Simplify right side
    1,582,480x = 11,748,551,443,456
  5. Step 5: Solve for x
    x = 11,748,551,443,456/1,582,480
  6. Step 6: Final answer
    x = 7,424,138.97

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.